Cell phone company A charges $20 plus $0.05 per text message. Cell phone company B charges $10 plus $0.07 per text message. Is there any number of text messages that will result in the exact same charge from both companies?
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Answer:
Yes 500
Step-by-step explanation:
If x is the number of text messages per month, company A charges
20
+
0.05
⋅
x
and company B charges
10
+
0.07
⋅
x
If the charge is the same then
20
+
0.05
⋅
x
=
10
+
0.07
⋅
x
20
−
10
=
0.07
⋅
x
−
0.05
⋅
x
10
=
0.02
⋅
x
x
=
10
0.02
=
10
2
100
=
10
⋅
100
2
=
500
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